148.04 is what percent of 449.44 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 449.44 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 449.44, so we can write it down as 100%=449.44.
4. We know, that x% equals 148.04 of the output value, so we can write it down as x%=148.04.
5. Now we have two simple equations:
1) 100%=449.44
2) x%=148.04
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=449.44/148.04
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 148.04 is what percent of 449.44

100%/x%=449.44/148.04
(100/x)*x=(449.44/148.04)*x       - we multiply both sides of the equation by x
100=3.0359362334504*x       - we divide both sides of the equation by (3.0359362334504) to get x
100/3.0359362334504=x
32.938768244927=x
x=32.938768244927

now we have:
148.04 is 32.938768244927% of 449.44